Arithematic and Geometric Series

Posted By on December 21, 2014


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Limits Formulas
Power Series

Notation:

Number of terms in the series: n

First term: a1

Nth term: an

Sum of the first n terms: Sn

Difference between successive terms: d

Common ratio: q

Sum to infinity: S

Arithmetic Series Formulas:

an=a1+(n1)d
ai=ai1+ai+12
Sn=a1+an2n
Sn=2a1+(n1)d2n

Geometric Series Formulas:

an=a1qn1
ai=ai1ai+1−−−−−−−−√
Sn=anqa1q1
Sn=a1(qn1)q1
S=a11q,(for 1<q<1)
Limits Formulas
Power Series

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Posted by Akash Kurup

Founder and C.E.O, World4Engineers Educationist and Entrepreneur by passion. Orator and blogger by hobby

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